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Electricity and Magnetism

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Moderate

Displacement from a Line of Charge: Field Point Along the Edge

EANDM-8PUKNS

Figure 1 depicts a line of charge of length $l$, upon which a linear charge density of $\lambda = 6.42 \: \rm \frac{nC}{m}$ has been placed.

Figure 1. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

A field point $P$ exists a distance $z$ from the left edge of the line of charge. Figure 2 shows the electric potential $V$ at the field point as a function of the line length $l$.

Figure 2. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

What is the distance $z$?

A

$z = 5.00 \text{ cm}$

B

$z = 10.0 \text{ cm}$

C

$z = 20.0 \text{ cm}$

D

$z = 3.33 \text{ cm}$